The dynamics of the jellyfish joyride: mathematical discussion of the causes leading to blooming

DOI10.1002/mma.3347zbMath1341.37059OpenAlexW2139636852MaRDI QIDQ2793942

Jürgen Scheurle, Florian Rupp

Publication date: 17 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3347

zbMATH Keywords

stabilitybifurcationpopulation dynamicspredator-prey models

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Bifurcation theory for ordinary differential equations (34C23) Bifurcations of singular points in dynamical systems (37G10) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Stability theory for smooth dynamical systems (37C75) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Cites Work

• Analysis of a mathematical model for jellyfish blooms and the cambric fish invasion
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Mathematical biology. Vol. 1: An introduction.
• Mathematical biology. Vol. 2: Spatial models and biomedical applications.
• On the Uniqueness of a Limit Cycle for a Predator-Prey System
• Uniqueness of a Limit Cycle for a Predator-Prey System
• Evolutionary Games and Population Dynamics
• On Weak Solutions of a Mildly Nonlinear Dirichlet Problem
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